Nonperturbative dynamics of noncommutative gauge theory

被引：127

作者：

Ambjorn, J

Makeenko, YM

Nishimura, J

Szabo, RJ

机构：

[1] Niels Bohr Inst, DK-2100 Copenhagen O, Denmark

[2] Inst Theoret & Expt Phys, Moscow 117218, Russia

[3] Nagoya Univ, Dept Phys, Nagoya, Aichi 4648602, Japan

来源：

PHYSICS LETTERS B | 2000年 / 480卷 / 3-4期

基金：

日本学术振兴会;

关键词：

D O I：

10.1016/S0370-2693(00)00391-9

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We present a nonperturbative lattice formulation of noncommutative Yang-Mills theories in arbitrary even dimension. We show that lattice regularization of a noncommutative field theory requires finite lattice volume which automatically provides both an ultraviolet and an infrared cutoff. We demonstrate explicitly Morita equivalence of commutative U(p) gauge theory with p . n(f) flavours of fundamental matter fields on a lattice of size L with twisted boundary conditions and noncommutative U(1) gauge theory with n(f) species of matter on a lattice of size p L with single-valued fields. We discuss the relation with twisted large N reduced models and construct observables in noncommutative gauge theory with matter. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：399 / 408

页数：10